Russian Mathematical Surveys
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Uspekhi Mat. Nauk:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Russian Mathematical Surveys, 2006, Volume 61, Issue 6, Pages 1101–1166
DOI: https://doi.org/10.1070/RM2006v061n06ABEH004370 (Mi rm5293) 		 
This article is cited in 12 scientific papers (total in 12 papers)

Szemerédi's theorem and problems on arithmetic progressions

I. D. Shkredov

M. V. Lomonosov Moscow State University
English version PDF (816 kB) Citations (12)
References:
PDF
HTML
DOI: https://doi.org/10.1070/RM2006v061n06ABEH004370
Abstract: Szemerédi's famous theorem on arithmetic progressions asserts that every subset of integers of positive asymptotic density contains arithmetic progressions of arbitrary length. His remarkable theorem has been developed into a major new area of combinatorial number theory. This is the topic of the present survey.
Received: 27.03.2006
Russian version:
Uspekhi Matematicheskikh Nauk, 2006, Volume 61, Issue 6(372), Pages 111–178
DOI: https://doi.org/10.4213/rm5293
Bibliographic databases:
Document Type: Article
UDC: 511.218+511.336
MSC: Primary 11B25; Secondary 05D10, 28D05, 28D15
Language: English
Original paper language: Russian
Citation: I. D. Shkredov, “Szemerédi's theorem and problems on arithmetic progressions”, Uspekhi Mat. Nauk, 61:6(372) (2006), 111–178; Russian Math. Surveys, 61:6 (2006), 1101–1166
Citation in format AMSBIB
\Bibitem{Shk06}
\by I.~D.~Shkredov
\paper Szemer\'edi's theorem and problems on arithmetic progressions
\jour Uspekhi Mat. Nauk
\yr 2006
\vol 61
\issue 6(372)
\pages 111--178
\mathnet{http://mi.mathnet.ru/rm5293}
\crossref{https://doi.org/10.4213/rm5293}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2330014}
\zmath{https://zbmath.org/?q=an:1178.11012}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2006RuMaS..61.1101S}
\elib{https://elibrary.ru/item.asp?id=25787348}
\transl
\jour Russian Math. Surveys
\yr 2006
\vol 61
\issue 6
\pages 1101--1166
\crossref{https://doi.org/10.1070/RM2006v061n06ABEH004370}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000246444900003}
\elib{https://elibrary.ru/item.asp?id=14799843}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-34249740215}
Linking options:
  • https://www.mathnet.ru/eng/rm5293
  • https://doi.org/10.1070/RM2006v061n06ABEH004370
  • https://www.mathnet.ru/eng/rm/v61/i6/p111
    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Успехи математических наук Russian Mathematical Surveys
    Statistics & downloads:
    Abstract page:1978
    Russian version PDF:1242
    English version PDF:52
    References:116
    First page:21
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024